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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1086–1091

Intensity-based modal decomposition of optical beams in terms of Hermite–Gaussian functions

Xin Xue, Haiqing Wei, and Andrew G. Kirk  »View Author Affiliations


JOSA A, Vol. 17, Issue 6, pp. 1086-1091 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001086


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Abstract

We show that when an arbitrary optical beam is decomposed into a superposition of Hermite–Gaussian functions, it is sufficient to record a number of intensity profiles sampled at various transverse planes to uniquely determine the relative modal weights. This result follows from the parity relation and the nature of the Gouy phase, in addition to the orthogonality of the Fourier-transformed intensity profiles associated with the Hermite–Gaussian modes.

© 2000 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.4070) Coherence and statistical optics : Modes

History
Original Manuscript: June 12, 1999
Revised Manuscript: February 18, 2000
Manuscript Accepted: February 18, 2000
Published: June 1, 2000

Citation
Xin Xue, Haiqing Wei, and Andrew G. Kirk, "Intensity-based modal decomposition of optical beams in terms of Hermite–Gaussian functions," J. Opt. Soc. Am. A 17, 1086-1091 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-6-1086

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